Complex Analysis: An Introduction to the Theory of Analytic Functions of One Complex Variable |
Contents
COMPLEX NUMBERS | 1 |
The Exponential and Trigonometric Functions | 3 |
The Geometric Representation of Complex Numbers | 12 |
Copyright | |
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Common terms and phrases
a₁ absolute value algebraic analytic continuations analytic function arbitrary boundary bounded C₁ Chap choose circle closed curve coefficients compact set complex numbers condition conformal mapping conjugate consider constant contains convergence corresponding defined definition denote derivative determined disk end points entire function equal exists expression finite number follows formula function elements function f(z geometric harmonic function hence homotopic identically imaginary inequality initial branch integral linear transformation meromorphic meromorphic function metric space multiple neighborhood notation obtain open sets poles polynomial positive proof prove radius radius of convergence rational function real axis real numbers rectangle residue Riemann surface roots satisfies sequence simple simply connected single-valued singularity solution subharmonic subset Suppose tion topological uniform convergence uniformly vanishes variable w₁ whole plane z-plane zero ди дх მყ